A. In what line did the mistake occur? Justify the answer. B. What are the correct answers?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
icon
Related questions
Question
100%

A. In what line did the mistake occur? Justify the answer.

B. What are the correct answers?

Jose was asked to solve the following trigonometric equation for 0 < x < 27.
sin(x) – cos(2a) = 0
Jose worked the problem the following way:
Line 1: sin(æ) – (1– 2 sin? (x)) = 0
Line 2: sin(x) – 1+2 sin? (x) = 0
Line 3: 2 sin? (x) + sin(x) – 1 = 0
Line 4: (2 sin(x) +1) (sin(x) – 1) = 0
Line 5: sin(x) = –3, sin(x) = 1
: 1
-
77 11T
Line 6: x
6
2
Transcribed Image Text:Jose was asked to solve the following trigonometric equation for 0 < x < 27. sin(x) – cos(2a) = 0 Jose worked the problem the following way: Line 1: sin(æ) – (1– 2 sin? (x)) = 0 Line 2: sin(x) – 1+2 sin? (x) = 0 Line 3: 2 sin? (x) + sin(x) – 1 = 0 Line 4: (2 sin(x) +1) (sin(x) – 1) = 0 Line 5: sin(x) = –3, sin(x) = 1 : 1 - 77 11T Line 6: x 6 2
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning